# 【系综合学术报告】2026年第4期|| Joint moments of derivatives of CUE characteristic polynomials and integrable systems-清华大学数学科学系

**Source**: https://math.tsinghua.edu.cn/info/1065/2964.htm
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### 【系综合学术报告】2026年第4期|| Joint moments of derivatives of CUE characteristic polynomials and integrable systems

发布日期：2026/03/10

【系综合学术报告】\
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报告题目：Joint moments of derivatives of CUE characteristic polynomials and integrable systems
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报告人：魏菲 （
北京邮电大学
）

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时间：2026年3月12日（周四）下午3:20-4:50
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地点：双清综合楼B1010
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摘要：In this talk, I will first introduce some background on the problem of the joint moments of the derivatives of the characteristic polynomial of a Haar-distributed unitary matrix. Second, I will discuss the connections between these joint moments and integrable systems, specifically their connections to solutions of the σ-Painlevé V and σ-Painlevé III′ equations. Third, I will talk about applications of these results, including the rational structure in the large matrix size limit, explicit formulae for joint moments for finite matrix sizes, and an efficient method for computing joint moments of power-sum linear statistics of a certain determinantal point process.
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邀请人：薛金鑫

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